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3 years ago

PLEASE HELP!!!!!!! What is the mean absolute deviation (MAD) of the data set?

Mathematics

1 answer:

melisa1 [442]3 years ago

7 0

Answer: 2.8

Step-by-step explanation:

The mean of the data set it 10. Then find the difference between the mean and each data value. |10-5|=5 do this for all of them. You get 5,1,1,1,6. Now find the mean of the these new data value. 5+1+1+1+6=14 14/5=2.8

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How much interest will $1,200 earn over 10 years with 5% interest compounded annually

Amiraneli [1.4K]

Answer:

$1,954

Step-by-step explanation:

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2 years ago

The population of a local species of dragonfly can be found using an infinite geometric series where a1=42 and the common ratio

san4es73 [151]

$\bf \textit{sum of an infinite geometric serie}\\\\
\stackrel{for~~|r|\ \textless \ 1}{S=\sum\limits_{i=0}^{\infty}~a_1r^i\implies \cfrac{a_1}{1-r}}\qquad 
\begin{cases}
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=42\\
r=\frac{3}{4}
\end{cases}
\\\\\\
S=\cfrac{42}{1-\frac{3}{4}}\implies S=\cfrac{42}{\frac{1}{4}}\implies S=164$

bearing in mind that, the geometric sequence is "convergent" only when |r|<1, or namely "r" is a fraction between 0 and 1.

3 0

3 years ago

Im confused, can someone help?

Bumek [7]

Well, the y-intercept is represented by B. So b would be the dot crossing the y-axis in each graph (which you already circled). Next, the slope for top left is: -1.5, top right is: -1.7, bottom left is: 3, and bottom right is: 1.33. I got those by using this very helpful website named Desmos. Now, I’m order to write the equation for each graph is very simple, all you have to do is put in the slope and y-intercept into the equation. For example, the top left one would be:
y = -1.5x + 4 since we know that the slope is equal to -1.5 and the y-intercept is equal to 4. Hope this helps :)

8 0

3 years ago

80 points ! Andrew charges $18 for each lawn he mows. Suppose he mows 17 lanes per month. How much money will andrew make per mo

levacccp [35]

Andrew will make $306 a month if he mows 17 lawns

4 0

3 years ago

Read 2 more answers

A researcher wants to test whether a certain sound will make rats do worse on learning tasks. It is known that an ordinary rat c

AveGali [126]

Answer:

So we reject the null hypothesis and accept the alternate hypothesis that rats learn slower with sound.

Step-by-step explanation:

In this data we have

Mean= u = 18

X= 38

Standard deviation = s= 6

1) We formulate the null and alternate hypothesis as

H0: u = 18 against Ha : u > 18 One tailed test .

2) The significance level alpha = ∝= 0.05 and Z alpha has a value ± 1.645 for one tailed test.

3)The test statistics used is

Z= X- u / s

z= 38-18/6= 3.333

4) The calculated value of z = 3.33 is greater than the z∝ = 1.645

5) So we reject the null hypothesis and accept the alternate hypothesis that rats learn slower with sound.

First we set the criteria for determining the true of value of the variable. That whether the rats learn in less or more than 18 trials.

Then we find the value of z for the given significance value given and the test about to be checked.

Then the test statistic is determined and calculated.

Then both value of z and z alpha re compared. If the test statistics falls in the rejection region reject the null hypothesis and conclude alternate hypothesis is true.

The figure shows that the calulated z value lies outside the given z values

4 0

3 years ago